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The Essential Norm of Operators on the Bergman Space.

Series:

Analysis Seminar

Wednesday, February 20, 2013 - 14:00

1 hour (actually 50 minutes)

Location:

Skiles 005

Speaker:

Brett Wick

,

Georgia Tech

In this talk, we will characterize the compact operators on Bergman spaces of the ball and polydisc. The main result we will discuss shows that an
operator on the Bergman space is compact if and only if its
Berezin transform vanishes on the boundary and additionally
this operator belongs to the Toeplitz algebra.
We additionally will comment about how to extend these results to
bounded symmetric domains, and for "Bergman-type" function spaces.